The weak Markus--Yamabe conjecture fails in dimension 14

Álvaro Castañeda, Gerardo Honorato, Francisco Valenzuela-Henríquez

We show that the weak Markus--Yamabe conjecture fails in every dimension $n\ge 14$. We first prove a chain realization theorem: every polynomial Keller map $F=\I+H$ of ${\mathbb{R}}^n$ with…